解?$:(1)$?根據(jù)題意, 得:
?$A^2C-B=(-2 x)^2(x-1) -(4 x^3-3 x^2-1) $?
?$=4 x^2(x-1)-4 x^3+3 x^2+1 $?
?$=4 x^3-4 x^2-4 x^3+3 x^2+1 $?
?$=-x^2+1 ;$?
?$(2)$?把?$ x=-\frac {1}{2} $?代入上式
?$ 則 A^2C-B=-x^2+1=-(-\frac {1}{2})^2+1 =-\frac {1}{4}+1 =\frac {3}{4} .$?